Sin(90 + θ)
By addition angle formula for sine.
sin90cosθ + cos90sinθ
1*cosθ + 0*sinθ
cosθ + 0
= cosθ
sin(90 + θ) = cosθ
A simple harmonic motion is defined by the amplitude and angular frequency of the oscillation, which are represented in the given function as 6 units and 98 rad/s respectively.
<h3>General wave equation for simple harmonic motion</h3>
y = A sinωt
where;
- A is amplitude of the motion
- ω is angular frequency
<h3>Amplitude of the oscillation</h3>
A = 6 units
<h3>Angular frequency of the wave</h3>
ω = 98 rad/s
A simple harmonic motion is defined by the amplitude and angular frequency of the oscillation. Thus, the wave is executing simple harmonic motion.
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Some of the techniques used by astronomers to determine the type of galaxy in which we live are:
- radio,
- optical,
- infrared
- x-ray astronomy
<h3>What is Astronomy?</h3>
This refers to the study of heavenly bodies and space and other things that space is made up of.
Hence, we can see that the reason why it is so difficult to determine the shape of our galaxy is that astronomers can only infer its presence from the motions of stars in the galaxy, and a precise shape is difficult to be determined.
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Acceleration = (change in speed) / (time for the change)
Change in speed = (speed at the end) minus (speed at the beginning.
The cart's acceleration is
(0 - 2 m/s) / (0.3 sec)
= ( -2 / 0.3 ) (m/s²) = -(6 and 2/3) m/s² .
Newton's second law of motion says
Force = (mass) x (acceleration) .
For this cart: Force = (1.5 kg) x ( - 6-2/3 m/s²)
= ( - 1.5 x 20/3 ) (kg-m/s²)
<span> = </span>- 10 newtons .
<span>The force is negative because it acts opposite to the direction </span>
<span>in which the cart is moving, it causes a negative acceleration, </span>
<span>and it eventually stops the cart.</span>
